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Paper Citation Record · LEDGER

Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 inbound Pith citation observations for arXiv:2408.05417.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2408.05417 v2

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measured 0 of 0 reference resolution

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Source: paper_references, paper_reference_links

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 14 of 14 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:57:33.419744Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-02T09:06:48.463658Z

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0 of 0 outbound references displayed

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No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 9499588d-fb55-4ad1-9cbb-37fc19c9c175 · inbound

Tidal Love numbers and quasi-normal modes of the Schwarzschild-Hernquist black hole cites this paper.

Tidal Love numbers and quasi-normal modes of the Schwarzschild-Hernquist black hole Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 103

Resolution
unresolved
no resolver link, observed 2026-08-11T11:58:14.115877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:58:14.115877Z digest=sha256:cca236cb4196da8abb701f1b9ddf32b845cfd5287dc33b4254632f20ba310fa4

Observation 7a5245a7-8dd9-4e3c-b17d-2417f5555c92 · inbound

Black hole in the Dekel-Zhao dark matter profile cites this paper.

Black hole in the Dekel-Zhao dark matter profile Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 18

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unresolved
no resolver link, observed 2026-08-10T17:11:33.161440Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:11:33.161440Z digest=sha256:b7dc38de7b44112568440e1b8edb1e2627cc41ffb6c555de7ef203a81aaca241

Observation f12adfe3-62c9-4ee2-ac53-357e0ff71d2d · inbound

On Equation of State of Dark Matter around Massive Black Holes cites this paper.

On Equation of State of Dark Matter around Massive Black Holes Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 29

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unresolved
no resolver link, observed 2026-08-10T17:08:11.743591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:08:11.743591Z digest=sha256:83e76c6a8c2b654ace2042d31fdc20ebf44acad29523ccf0f587952a993b3719

Observation 1b58789f-5f36-413e-8974-6ae9a2a3f81b · inbound

Periodic orbits and their gravitational wave radiations in black hole with dark matter halo cites this paper.

Periodic orbits and their gravitational wave radiations in black hole with dark matter halo Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 78

Resolution
unresolved
no resolver link, observed 2026-08-07T22:34:37.039069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:34:37.039069Z digest=sha256:743d84e22dc1639ffa90594d781dce79682e70833815385560f219845882674c

Observation a98c98cc-1792-44d6-8bb5-acf78a2e017d · inbound

Supermassive black hole in NGC 4649 (M60) with a dark matter halo: Impact on shadow measurements and thermodynamic properties cites this paper.

Supermassive black hole in NGC 4649 (M60) with a dark matter halo: Impact on shadow measurements and thermodynamic properties Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-15T23:57:33.419744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T23:57:33.419744Z digest=sha256:c6e1179e6c61120357180f893bf51b88c95b4c5a4e0b8438ed65fe3ebfac9698

Observation b1fd177f-1b5a-4a59-a30c-927dcc14d622 · inbound

Relativistic structure of a supermassive black hole embedded in the dark matter halo of NGC 4649 (M60) cites this paper.

Relativistic structure of a supermassive black hole embedded in the dark matter halo of NGC 4649 (M60) Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-15T23:46:51.567681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T23:46:51.567681Z digest=sha256:9ad44c79573a837779655ac586255d700a56e1b07409478febd46d33f7693259

Observation b3de9731-d240-4594-b907-84c7bcf95f90 · inbound

New analytical model of rotating black hole with dark matter halo: constraints from EHT observations and accretion disk cites this paper.

New analytical model of rotating black hole with dark matter halo: constraints from EHT observations and accretion disk Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-05T13:39:52.558883Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T13:39:52.558883Z digest=sha256:0151719db9be36105097c49446861b89933d25412f055d4237fcc56659c7f258

Observation 449bca55-1ce1-4b05-8c55-3316580d0308 · inbound

Shadow and Quasi-Normal Modes of Schwarzschild-Hernquist Black Hole cites this paper.

Shadow and Quasi-Normal Modes of Schwarzschild-Hernquist Black Hole Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-05T10:35:27.855728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:35:27.855728Z digest=sha256:8899b9e759897ac073b63e4ee2b86e62eded8cb7ccfada3425120425e68bfd6e

Observation f18b6074-bb36-4991-9c13-f201f2050939 · inbound

Beyond general relativity: gravitational waves in non-minimally coupled theories cites this paper.

Beyond general relativity: gravitational waves in non-minimally coupled theories Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 71

Resolution
unresolved
no resolver link, observed 2026-08-04T07:34:05.127940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T07:34:05.127940Z digest=sha256:54de5cc4d7ca41888d732d69dd35205deefa49c2dcc7faf57b19693337dd09f4

Observation 42a6897d-1673-4f3f-b2d2-6be77950a7c4 · inbound

Black hole spacetimes with dark matter spikes: Energy-momentum tensor and backreaction effects cites this paper.

Black hole spacetimes with dark matter spikes: Energy-momentum tensor and backreaction effects Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-03T22:05:51.566965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:05:51.566965Z digest=sha256:7456c3b5b95b570c9ad4fd0ef15642287800be3e8835d85fd6f00610618ae090

Observation c503824a-03f3-459b-ab51-90e3d45e0cb2 · inbound

Geometric properties of slowly rotating black holes embedded in matter environments cites this paper.

Geometric properties of slowly rotating black holes embedded in matter environments Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-03T01:15:25.201709Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:15:25.201709Z digest=sha256:c2dd3560041e4cf6e5eecd9ca62d95e8c9193efa34408f83e9fb6d327b1f6a83

Observation 91a66743-5390-4023-9c3f-877d5c8abfbb · inbound

Axial tidal Love numbers of black holes in matter environments cites this paper.

Axial tidal Love numbers of black holes in matter environments Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 100

Resolution
verified exact
arxiv_id, observed 2026-05-09T06:30:43.504748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-08T18:23:31.951674Z digest=sha256:f8ecd00b9b0ab6438beebc5d64ba552cf4e425f366d156b77aefc5d1287fcec5

Observation 401c19f4-af24-4dd4-bcf0-2688965b3187 · inbound

Constraints on Schwarzschild Black Hole in a Generalized Dehnen-Type $(1,4,\gamma)$ Dark Matter Halo via the S2 Star Orbit around Sgr A$^\star$ cites this paper.

Constraints on Schwarzschild Black Hole in a Generalized Dehnen-Type $(1,4,\gamma)$ Dark Matter Halo via the S2 Star Orbit around Sgr A$^\star$ Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 47

Resolution
verified exact
arxiv_id, observed 2026-05-22T05:44:39.210154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-22T05:41:31.066742Z digest=sha256:a484d5f5c2f89f8a2428e917b22324846411aaf744e5689e9fbd07c56dfe16c7

Observation 476e5f04-30fa-4216-bc9a-cc658f6f1e23 · inbound

Gravitational Wave Signatures of Schwarzschild Black Hole in a Generalized Dehnen-Type $(1,4,\gamma)$ Dark Matter Halo cites this paper.

Gravitational Wave Signatures of Schwarzschild Black Hole in a Generalized Dehnen-Type $(1,4,\gamma)$ Dark Matter Halo Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes

Reference 37

Resolution
verified exact
arxiv_id, observed 2026-07-02T09:06:48.465152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-07-02T09:06:12.138701Z digest=sha256:6a23dad73a459a3e4a9e74dcff25278c5f14f8ff8e1b7163b6f3d80d7c5f3159